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Finding the Third Proportional to 32,448 and 66,432

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Solution

The third proportional to 32,448 and 66,432 is: 136,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448 : 66,432 = 66,432 : x
  2. Step 2: Convert to fraction form
    32,448/66,432 = 66,432/x
  3. Step 3: Cross multiply
    32,448x = 66,432 × 66,432
  4. Step 4: Simplify right side
    32,448x = 4,413,210,624
  5. Step 5: Solve for x
    x = 4,413,210,624/32,448
  6. Step 6: Final answer
    x = 136,008.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.